Theorems · Definition · nonassociative algebras
LieEquiv.toLieHom
{R : Type u} →
{L : Type v} →
{L' : Type w} →
[inst : CommRing R] →
[inst_1 : LieRing L] →
[inst_2 : LieAlgebra R L] → [inst_3 : LieRing L'] → [inst_4 : LieAlgebra R L'] → (L ≃ₗ⁅R⁆ L') → L →ₗ⁅R⁆ L'- Defined in
- Mathlib.Algebra.Lie.Basic
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- LieHomstatement · cited by 382
- LieEquivstatement and proof · cited by 86
Cited by20
Results whose statement or proof uses this declaration.
- LieEquiv.symmproof · cited by 34
- LieEquiv.toLinearEquivproof · cited by 16
- LieEquiv.transproof · cited by 5
- LieEquiv.injectivestatement · cited by 3
- LieEquiv.ofSubalgebrasstatement and proof · cited by 3
- LieEquiv.surjectivestatement · cited by 2
- LieModule.toEnd_matrixstatement · cited by 2
- Equiv.lieModule_isNilpotent_iffproof · cited by 2
- LieEquiv.map_lieproof · cited by 2
- LieEquiv.coe_toLieHomstatement · cited by 1
- LieEquiv.lieSubalgebraMapstatement · cited by 1
- LieEquiv.right_invstatement · cited by 0